SOLUTION: simplify 2 plus the square root of 2 times 2 minus the square root of 2.

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Question 286937: simplify 2 plus the square root of 2 times 2 minus the square root of 2.
Found 2 solutions by dabanfield, MathTherapy:
Answer by dabanfield(803) About Me  (Show Source):
You can put this solution on YOUR website!
(2+sqrt(2))*(2-sqrt(2))
Using FOIL we have
2*2 + 2*(-sqrt(2)) + 2*(sqrt(2)) - (sqrt(2))^2 =
4 - sqrt(2)
Remember sqrt(x)^2 = x.

Answer by MathTherapy(10898) About Me  (Show Source):
You can put this solution on YOUR website!
simplify 2 plus the square root of 2 times 2 minus the square root of 2.
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The other person's answer, 4+-+sqrt%282%29, is WRONG!!
Instead, %282+%2B+sqrt%282%29%29%282+-+sqrt%282%29%29 = 2%5E2+-+%28sqrt%282%29%29%5E2 = 4 - 2 = 2.